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Finding the Fourth Proportional to 356,858.10, 492,439.66 and 195,709.62

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Solution

The fourth proportional to 356,858.10, 492,439.66 and 195,709.62 is: 270,065.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,858.10 : 492,439.66 = 195,709.62 : x
  2. Step 2: Convert to fraction form
    356,858.10/492,439.66 = 195,709.62/x
  3. Step 3: Cross multiply
    356,858.10x = 492,439.66 × 195,709.62
  4. Step 4: Simplify right side
    356,858.10x = 96,375,178,731.53
  5. Step 5: Solve for x
    x = 96,375,178,731.53/356,858.10
  6. Step 6: Final answer
    x = 270,065.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.